Abstract
We revisit the harmonic approximation (HA) for a large Josephson junctioninteracting with some charge qubits through the variational approach for thequantum dynamics of the junction-qubit coupling system. By making use ofnumerical calculation and analytical treatment, the conditions under whichHA works well can be precisely presented to control the parametersimplementing the two-qubit quantum logical gate through the couplings to thelarge junction with harmonic oscillator Hamiltonian.
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